Abstract
This study examines the statistical properties of the concentration derivative, χ′, for a dispersing plume in a near-neutrally stratified atmospheric surface layer. Towards this goal, the probability density function (pdf) of χ′, and the conditional pdf of χ′ given a fixed concentration level, χ, have been measured. These pdfs are found to be modeled well by a generalizedq-Gaussian (gqG) distribution with intermittency exponent,q, equal to 0.3 and 3/4, respectively. These results highlight the strong intermittency effect (patchiness) of the small-scale concentration eddy structures in the plume. The distribution of time intervals between successive high peaks in the squared derivative process, x′2, is found to be well approximated by a power-law distribution, implying that occurrences of these high peaks are much more clustered than would be predicted by a Poisson or shot-noise process. The results are used to improve models for the joint pdf of χ and χ′, and for the expected number of upcrossings per unit time interval of a fixed concentration level that have been proposed by Kristensenet al. (1989). The predictions of the improved models are in accord with observations, and suggest that the intercorrelation between χ and χ′ must be explicitly incorporated if good estimates of the upcrossing intensity are to be obtained.
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Bara, B. M., Wilson, D. J., and Zelt, B. W.: 1992, ‘Concentration Fluctuation Profiles from a Water Channel Simulation of a Ground-Level Release’,Atmos. Environ. 26A, 1053–1062.
Biltoft, C. A.: 1991, ‘Concentration Fluctuation Modeling of Chemical Hazards (Field Test)’, U.S. Army Dugway Proving Ground, Dugway, Utah, 96 pp.
Chandler, G. M.: 1991, ‘Development of Fast-Response Tracer Gas Sensors for Use in Full-Scale Atmospheric Dispersion Field Trials. Part I: Hardware Component. Part II: Field Testing Component’, Technical Report for Defence Research Establishment Suffield (DRES-CR-04-92) S & J Engineering, Inc., Scarborough, Ontario, 82pp.
Chatwin, P. C.: 1982, ‘The Use of Statistics in Describing and Predicting the Effects of Dispersing Gas Clouds’,J. Hazardous Materials 6, 213–230.
Chatwin, P. C. and Sullivan, P. J.: 1979, ‘The Relative Diffusion of a Cloud of Passive Contaminant in Incompressible Turbulent Flow’,J. Fluid Mech. 91, 337–355.
Deardorff, J. W. and Willis, G. E.: 1984, ‘Ground-level Concentration Fluctuations From a Buoyant and Non-buoyant Source Within a Laboratory Convective Mixed Layer’,Atmos. Environ. 18, 1297–1309.
Deardorff, J. W. and Willis, G. E.: 1988, ‘Concentration Fluctuations Within a Laboratory Convectively Mixed Layer’, in A. Venkatram and J. C. Wyngaard (eds.),Lectures on Air Pollution Modeling, Amer. Meteorol. Soc., Boston, MA, 357–384.
Dinar, N., Kaplan, H., and Kleiman, M.: 1988, ‘Characterization of Concentration Fluctuations of a Surface Plume in a Neutral Boundary Layer’,Boundary-Layer Meteorol. 45, 157–175.
Fackrell, J. E. and Robins, A. G.: 1982, ‘Concentration Fluctuations and Fluxes in Plumes from Point Sources in a Turbulent Boundary Layer’,J. Fluid Mech. 117, 1–26.
Hanna, S. R.: 1984, ‘The Exponential Probability Density Function and Concentration Fluctuations in Smoke Plumes’,Boundary-Layer Meteorol. 29, 361–375.
Kaplan, H. and Dinar, N.: 1988, ‘A Stochastic Model for Dispersion and Concentration Distribution in Homogeneous Turbulence’,J. Fluid Mech. 190, 121–140.
Kristensen, L., Weil, J. C., and Wyngaard, J. C.: 1989, ‘Recurrence of High Concentration Values in a Diffusing, Fluctuating Scalar Field’,Boundary-Layer Meteorol. 47, 263–276.
Lewellen, W. S. and Sykes, R. I.: 1986, ‘Analysis of Concentration Fluctuations from LIDAR Observations of Atmospheric Plumes’,J. Clim. and Appl. Meteorol. 25, 1145–1154.
Mylne, K. R. and Mason, P. J.: 1991, ‘Concentration Fluctuation Measurements in a Dispersing Plume at a Range of up to 1000 m’,Q. J. R. Meteorol. Soc. 117, 177–206.
Press, W. H. and Teukolsky, S. A.: 1990, ‘Savitzky-Golay Smoothing Filters’,Comput. Phys. 4, 669–672.
Rice, S. O.: 1945, ‘Mathematical Analysis of Random Noise’,Bell Sytem Tech. J. 24, 46–156.
Sawford, B. L.: 1987, ‘Conditional Concentration Statistics for Surface Plumes in the Atmospheric Boundary Layer’,Boundary-Layer Meteorol. 38, 209–223.
Sawford, B. L., Frost, C. C., and Allan, T. C.: 1985, ‘Atmospheric Boundary-Layer Measurements of Concentration Statistics from Isolated and Multiple Sources’,Boundary-Layer Meteorol. 31, 249–268.
Sawford, B. L. and Stapountzis, H.: 1987, ‘Concentration Fluctuations According to Fluctuating Plumes in One and Two Dimensions’,Boundary-Layer Meteorol. 37, 1987.
Wilson, D. J., Robins, A. G., and Fackrell, J. E.: 1985, ‘Intermittency and Conditionally-Averaged Concentration Fluctuation Statistics in Plumes’,Atmos. Envrion. 19, 1053–1064.
Wilson, D. J., Zelt, B. W., and Pittman, W. E.: 1991, ‘Statistics of Turbulent Fluctuation of Scalars in a Water Channel’, Technical Report for Defence Research Establishment Suffield (DRES-CR-31-91), Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada, 60 pp.
Yee, E., Kosteniuk, P. R., Chandler, G. M., Biltoft, C. A., and Bowers, J. F.: 1993, ‘Statistical Characteristics of Concentration Fluctuations in Dispersing Plumes in the Atmospheric Surface Layer’,Boundary-Layer Meteorol. 65, 69–109.
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Yee, E., Kosteniuk, P.R., Chandler, G.M. et al. Recurrence statistics of concentration fluctuations in plumes within a near-neutral atmospheric surface layer. Boundary-Layer Meteorol 66, 127–153 (1993). https://doi.org/10.1007/BF00705463
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DOI: https://doi.org/10.1007/BF00705463